Commutative Property in Arithmetics

Q. A number is 12 more than the other, if their sum is 48.Then the numbers are: [4 MARKS]

Q.

There are $3$ copies each of $4$ different books. The number of ways they can be arranged on a shelf is?

1. $369600$

2. $400400$

3. $420600$

4. $440720$

Q.

The sum first $25$ natural numbers is

1. $325$

2. $300$

3. $505$

4. None of these

Q.

Frame an equation. My mother is three times my age. Sum of our ages is 48.

1. x(3x) = 48

2. 5x = 48

3. 4x = 48

4. 3x = 48

Q. Find the perimeter of a rectangle whose length is thrice of its breadth. Consider the breadth of the rectangle as ‘b’ m.

1. '4b' m
2. '6b' m
3. '8b' m
4. '10b' m

Q.

Translate each of the following statements into an equation, using x as the variable: [4 MARKS]

a) 13 subtracted from twice a number gives 3.

b) One fifth of a number is 5 less than that number.

c) Two-third of number is 12.

d) 9 added to twice a number gives 13.

Q.

A book consists of $432$ pages. Nitin read $\frac{3}{4}$ of it during first week and $\frac{1}{2}$ of the remaining during second week. How many pages left unread?

Q. $2365\times 98765=98765\times ---$

1. 5632
2. 2365
3. 6523
4. 3265

Q.

Which of the following equations shows commutativity in multiplication:

1. $a\times (b\times c)=(a\times b)\times c$

2. $a\times b=b\times a$

3. $a\times (b+c)=(a\times b+a\times c$

4. $2\times 3=5+1$

Q. Which of the following represents the Commutative Property of addition?

1. 5689 x 1236 = 1236 x 5687
2. 123 + (456 +789) = (123+456) + 789
3. 2589 +1476 = 1476 +2589
4. $\frac{1}{2}=\frac{2}{1}$

Q.

Let a and b be two variables that can take any value .Then a+b = b+a, which property is used here?

Q. Express the following using x in place of the unknown number.

(4) The quotient obtained by dividing a number by 24.

Q. What is the property called where in an arithmetic operation, changing the order of the operands does not change the result?

1. Distributive Property
2. Associative Property
3. Commutative Property
4. Additive Inverse

Q.

Product of a number and 5 is 35. Find the number.

1. 6

2. 5

3. 8

4. 7

Q.

Match the items in column-I with corresponding items in column-II.

Column 1	Column 2
$22+77=77+22$	Commutativity under multiplication
$2+(3+6)=(2+3)+6$	Associativity under multiplication
$5+0=5=0+5$	Commutativity under addition
$12\times 99=99\times 12$	Associativity under addition
$11\times (2\times 7)=(11\times 2)\times 7$	Identity under addition

Q. What is circular permutation? give some examples also

Q.

Frame an equation - The product of two consecutive numbers is 110.

1. x(x + 1) = 110

2. x(x + 2) = 110

3. 2x(x + 1) = 110

4. 2x(x + 2) = 110

Q.

Which of the following equations shows commutativity in multiplication:

1. $a\times (b\times c)=(a\times b)\times c$

2. $2\times 3=5+1$

3. $a\times (b+c)=(a\times b+a\times c$

4. $a\times b=b\times a$

Q.

Which property is represented in the following algebraic equation: 5 + 6 = 6 + 5

1. substitution property

2. Associative property of addition

3. Distributive property of addition

4. Commutative property of addition

Q.

Form the linear equation from the following statement and then solve.

Sum of three consecutive numbers is $48$. Find the numbers ?